Scientific Notation and

Multiplication Property of Exponents

Scientific Notation

• A number is in scientific notation when• There is a number (I’ll call “n”) that

is bigger than or equal to one, but less than ten.

• This number “n” is multiplied by a power of ten.

• A power of ten is 10 to the something power.

• So it will look something like this:• n x 10

-3

Examples

Which are in scientific notation?3.5 x 103

62.6 x 10-2

0.86 x 108

3.82 x 100-6 4.6 x 100

Yes No No No Yes

Examples

Write in scientific notation

13,030,000 0.000 092 675 million 283 hundred

thousandths

1.303 x 107

9.2 x 10-5

6.75 x 108

2.83 x 10-3

Examples

Write as a standard number:

6.2 x 10-5

1.2345 x 1010

7.91 x 100

5 x (7 x 106)

0.000 062 12,345,000,00

0 7.91 35,000,000

(a3)(a4)

• This means a a a a a a a

Or a7

A shortcut for this---When you are multiplying and the bases are the same ADD THE EXPONENTS

Examples

• (2.3 · )• Find the area of

the triangle:

• 1.15 · • 6

4x

3x

Try these…

• 6 · 3 · 2 • (9 · )(0.3 · )• (0.7 · )• · · 2q

• 36• 2.7 · • 2.1 · • 18